Answer:
4(4x+7)
Step-by-step explanation:
all I did was evaluate the exponent then added all the numbers to then rearrange the terms and the use your common factors
Find the value of A that makes the following equation true for all values of x. 2^x=A^(x/12)
Step-by-step explanation:
[tex]2 {}^{x} = a {}^{ \frac{x}{12} } [/tex]
[tex]2 {}^{x} = a {}^{ \frac{1}{12} \times x} [/tex]
[tex]2 = a {}^{ \frac{1}{12} } [/tex]
[tex] ln(2) = \frac{1}{12} \times ln(a) [/tex]
[tex]12 ln(2) = ln(a) [/tex]
[tex]e {}^{12 ln(2) } = e {}^{ ln(a) } [/tex]
[tex]2 {}^{12} = a[/tex]
Answer:
D) 2^12
Step-by-step explanation:
It’s correct on Khan academy
Given the arithmetic series: 2 + 4 + 6 +. Find the sum of T41 to T47
The series: 2 + 4 + 6 +.... is an arithmetic series
The sum of T41 to T47 is 616
How to determine the sum of the seriesThe series is given as:
2 + 4 + 6 +....
The above series is an arithmetic series with the following parameters:
Initial value, a = 2
Common difference, d = 2
Start by calculating S40 using the sum of n terms formula
[tex]S_n = \frac n2 * [2a + (n - 1)d][/tex]
So, we have:
[tex]S_{40} = \frac {40}2 * [2*2 + (40 - 1)*2][/tex]
[tex]S_{40} = 1640[/tex]
Calculate S47 using the same formula
[tex]S_{47} = \frac {47}2 * [2*2 + (47 - 1)*2][/tex]
[tex]S_{47} = 2256[/tex]
Subtract S40 from S47
[tex]S_{47} - S_{40} = 2256 - 1640[/tex]
[tex]S_{47} - S_{40} = 616[/tex]
Hence, the sum of T41 to T47 is 616
Read more about arithmetic series at:
https://brainly.com/question/24295771
A machine only accepts 25₵ coins.
A family has $3.75 to change into 25₵ coins.
How many coins can they get?
Answer:
15.
Step-by-step explanation:
3.75 / 25 = 15.
PLEASE HELP!!!!,,,,,,
HELP ASAP!!!!!!!!!!!!!!!
Answer:
( 8, -1 )
Step-by-step explanation:
The intersection where the two lines meet is ( 8, -1 ). 8 is from the x-axis, -1 is from the y-axis
Answer:
( 8, -1 )
Step-by-step explanation:
The intersection where the two lines meet.
Base on the graphs ( 8, -1 ):
8 is from the x-axis and -1 is from the y-axis.
You can also refer to the picture below:
~Learn with Lenvy~
Factor completely. 36c^2−8cd+49d^2
[tex]\huge\bold\green{Answer:-}[/tex]
Simplifying
36c2 + -84cd + 49d2 = 0
Reorder the terms:
-84cd + 36c2 + 49d2 = 0
Solving
-84cd + 36c2 + 49d2 = 0
Solving for variable 'c'.
Factor a trinomial.
(6c + -7d)(6c + -7d) = 0
Subproblem 1
Set the factor '(6c + -7d)' equal to zero and attempt to solve:
Simplifying
6c + -7d = 0
Solving
6c + -7d = 0
Move all terms containing c to the left, all other terms to the right.
Add '7d' to each side of the equation.
6c + -7d + 7d = 0 + 7d
Combine like terms: -7d + 7d = 0
6c + 0 = 0 + 7d
6c = 0 + 7d
Remove the zero:
6c = 7d
Divide each side by '6'.
c = 1.166666667d
Simplifying
c = 1.166666667d
Subproblem 2
Set the factor '(6c + -7d)' equal to zero and attempt to solve:
Simplifying
6c + -7d = 0
Solving
6c + -7d = 0
Move all terms containing c to the left, all other terms to the right.
Add '7d' to each side of the equation.
6c + -7d + 7d = 0 + 7d
Combine like terms: -7d + 7d = 0
6c + 0 = 0 + 7d
6c = 0 + 7d
Remove the zero:
6c = 7d
Divide each side by '6'.
c = 1.166666667d
Simplifying
c = 1.166666667d
Solution
c = {1.166666667d, 1.166666667d}
I HOPE IT HELPS ♥️
A card is drawn from a deck of cards, Then the card is replaced, the deck is reshuffled, second card is drawn. What is the probability of getting.
1. a 3 on the first draw and a red card on the second draw?
2. an ace on the first draw and a heart on the second draw?
3. a queen on the first draw and a king on the second draw
4. a jack on the first draw and multiple of 5 on the second draw
Answer:
https://socratic.org/questions/a-card-is-drawn-from-a-standard-deck-a-second-card-is-drawn-without-replacing-th-1#131182
Step-by-step explanation:
:)
For school project to a student Shona and Miguel well record the number of text message each of them sent each day for a 60 day period . The box plot summarize the record data?
The median of Shona data is 35, while the median for Miguel is 40. The range of Shona and Miguel are 35 and 30 respectively
What is a box plot?A box plot provides the summary of a data using the five number summary that is minimum, lower quartile, median, upper quartile and maximum.
The median of Shona data is 35, while for Miguel is 40.
The range of Shona = 60 - 25 = 35
The range of Miguel = 55 - 25 = 30
The median of Shona data is 35, while the median for Miguel is 40. The range of Shona and Miguel are 35 and 30 respectively
Find out more on box plot at: https://brainly.com/question/14277132
Find the circumference of the circle. Use 3.14 for it. Round to the nearest hundredth, if necessary.
225 in.
The circumference of the circle is about
inches.
Answer:
The circumference would be about 141.3 inches
Step-by-step explanation:
Place your radius into the formula for circumference (C=2πr)
C = 2 × 3.14 × 22.5
C = 141.3
Which is a factor of 144 − 49x2? 12 - 7x2 72 – 7x2 12 – 7x 72 7x
The factor of the given equation will be [tex](12+7x)(12-7x)[/tex]
What will be the factor of the given equation?The given expression is
[tex]=144-7x^2[/tex]
Now we can also write this
[tex]=(12^2-7x^2)[/tex]
By using the formula
[tex](a^2-b^2)=(a+b)(a-b)[/tex]
Now form the above formula
[tex]=(12+7x)(12-7x)[/tex]
Thus the factor of the given equation will be [tex](12+7x)(12-7x)[/tex]
To know more about quadratic equations follow
https://brainly.com/question/1214333
If a right triangle has one side measuring 8 and a hypotenuse measuring 16, what is the length of the missing
side?
Answer:
Step-by-step explanation:
Which function passes through (3,0)?
Answer:
C
Step-by-step explanation:
[tex] |3| - 3 = 3 - 3 = 0[/tex]
Can someone help me with this if you can? please and thanks :)))))
Answer:
Rounded: 7.580
Not rounded: 7.5795
Step-by-step explanation:
We fist need to turn the percent into a decimal then we can multiply it :)
8.15 x 0.93
7.580
Have an amazing day!!
Please rate and amrk brainliest!!
Carl’s dog, Alice, has a pet ramp she uses to go up the bed. A picture of Alice on her pet ramp is shown above. Enter the length of the ramp in feet. Round your answer to the nearest hundredth. *
Answer:
6.18 ft
Step-by-step explanation:
The ramp forms a right triangle.
We know two of the lengths of the right triangle, therefore, we would apply pythagorean theorem to find the longest length of the triangle, which is the length of the ramp.
The given lengths are 1.5 ft and 6 ft. The length of the ramp is the length of the longest side (hypotenuse length).
Thus, applying pythagorean theorem:
[tex] c^2 = a^2 + b^2 [/tex], where,
a = 1.5 ft
b = 6 ft
c = length of ramp
Substituting the values:
[tex] c^2 = 1.5^2 + 6^2 [/tex]
[tex] c^2 = 2.25 + 36 [/tex]
[tex] c^2 = 38.25 [/tex]
[tex] \sqrt{c^2} = \sqrt{38.25} [/tex]
[tex] c = \sqrt{38.25} [/tex]
[tex] c = 6.18 [/tex] (nearest hundredth)
length of the ramp = 6.18 ft
(CO 3) On the production line the company finds that 85.6% of products are made correctly. You are responsible for quality control and take batches of 30 products from the line and test them. What number of the 30 being incorrectly made would cause you to shut down production?
Answer and explanation:
There should be 85.6% correctly made products
If there is less than 85.6% correctly made products then production would be shut down
therefore 100-85.6= 14.4% of products can be incorrectly made and not more than that
In 30 batches 14.4% =0.144*30=4.32 products
Therefore there must not be more than 4.32 products incorrectly made in a batch of 30 else production is shut down
Camille had 30 dollars to spend on 3 gifts. She spent 10 – dollars on gift A and 6 dollars on
gift B. How much money did she have left for gift C? )
Answer:
$14
Step-by-step explanation:
30 - 10 - 6 = 14
Hope this helps
Select the correct answer.
What is the first step when solving the equation below for x?
A) Add 1.9 to both sides of the equation.
B) Divide each side of the equation by 4.
C) Add 0.2 to both sides of the equation.
D) Subtract 0.2 from both sides of the equation.
Now It's Time to Practice on Your Own
The coordinates of the endpoints of PQ are P(-2, 2) and Q (-2, 7)
PQ is dilated by a scale factor of 3 to produce the image P'Q'.
Drag and drop the length of P'Q into the box.
Answer:
15
Step-by-step explanation:
took the k-12 test
12. At the movie theater, they give out a free drink to every 75th customer and a free bag of popcorn to every 30th customer. Who is the first customer that is going to win both free items? * 1 point 16th customer 300th customer 150th customer 180th customer
Answer:
150th customer
Step-by-step explanation:
To find this we would need the lcm lowest common factor of 30 and 75
LCM 30 = 2,5,3,1
LCM 75 = 3,5,5
H.C.F = 2,3,5,5
= 150
the 150th custome would be getting both gift.
I GIVE 20 POINTS!
given parallelogram PQRS below, RT=88. If TP= x+6, solve for x
Answer:
The answer is x = 82, gimme brainliest answer
BEST ANSWER GETS BRAINLIEST AND A LOT OF POINTS
There is no actual way for us to help you since its a graph
M.2 Triangles and bisectors
What is VY?
Answer:
86 degrees because it is even with the 86 on the other side and all of the other angles match up.
5x - 6 = 3x + 4
X= -2
X= 5
All real numbers
X=2
Answer:
x = 5
Step-by-step explanation:
Step 1: Write equation
5x - 6 = 3x + 4
Step 2: Solve for x
Subtract 3x on both sides: 2x - 6 = 4Add 6 to both sides: 2x = 10Divide both sides by 2: x = 5Step 3: Check
Plug in x to verify it's a solution.
5(5) - 6 = 3(5) + 4
25 - 6 = 15 + 4
19 = 19
Answer:
X= 5
Step-by-step explanation:
5*5-6=19
3*5+4=19
What is 480% as a fraction in simplest form?
1. 48/100
12/25
4 4/5
4 80/100
Answer:
48/10
Step-by-step explanation:
The answer is answering "What is 480% as a fraction in simplest form?"
Someone please help fast!!!
What part of the quadratic formula below is the part we call the discriminant?
The product of Evie's age with Genna's is 143. Evie is 13 years old. Let Genna's age be g.
Write an equation involving g and solve it to find Genna's age.
During the summer, Alex earns some money mowing his neighbors' lawns. He is being paid $6.00 per hour. In June, he worked 11 hours. In July, he worked 19 hours. How much money did he earn in June and July altogether?
Answer:
$180
Step-by-step explanation:
Alex gets paid for $6.00 PER hour
In June:
Alex worked for 11 hours.
In July:
19 hours.
You can do 19*6.00 (Lets just do 19*6 for now to make it easier)
19*6=114
Change it to $144.00
In June:
You can do 11*$6.00. '(Lets just do 11*6 for now to make it easier)
11*6=66.
Change it to $66.00
Add the money Alex earned.
June + July= $66+144=$180
Mike is working on solving the exponential equation 37x = 12; however, he is not quite sure where to start. Using complete sentences, describe to Mike how to solve this equation.
An equation is marked out by the presence of the equality sign. From the calculation, the solution to the equation is x = 12/37.
What is equation?The term equations refers to any mathematical statement that involves the equality sign.
Here we have the equation; 37x = 12, the first step is to divide both sides by 37 as shown;
37x/37 = 12/37
This leaves us with the result x = 12/37 which is the solution to the equation.
Learn more about equation;https://brainly.com/question/2263981
Write the linear equation in slope-intercept form passing through the point with the given slope. (0, 3); slope = -2
The required equation of the line in slope intercept form is given as 2x + y = 3
Given that,
To determine the linear equation in slope-intercept form passing through the point with the given slope. (0, 3); slope = -2.
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Equation of the line is given as,
y - y₁ = m (x - x₁)
Substitute the value in the equation,
y - 3 = -2 (x - 0)
y = -2x + 3
2x + y = 3
Thus, the required equation of the line in slope intercept form is given as 2x + y = 3
Learn more about slopes here:
https://brainly.com/question/3605446
#SPJ2
Write the equation in point-slope form of the line that passes through the points (4, 7) and (5, 1). Use the first point to write the equation.
Answer:
Step-by-step explanation:
Answer:
[tex]y-7=-6(x-1)[/tex]
Step-by-step explanation:
So first you need to find the slope of the line. You do this by doing [tex]m=\frac{y^{2}-y^{1}}{x^{1}-x^{2}}[/tex]. You would plug the points from the line into the equation to get [tex]m=\frac{1-7}{5-4}[/tex], and when you simplify you would get [tex]m=\frac{-6}{1}[/tex] or [tex]m=-6[/tex]. This means your slope is -6.
Now, point slope form is written as [tex]y-y^{1} = m(x-x^{1} )[/tex] so to write the equation you would plug in the slope and the first point to get [tex]y-7=-6(x-1)[/tex]